CSIR Physical Sciences: Questions 375 - 377 of 401

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Passage

A beam of pions (π+) is incident on a proton target, giving rise to the process

π+pn+π++π+ (June)

Question number: 375 (2 of 2 Based on Passage) Show Passage

» Nuclear and Particle Physics » Elementary Particles and Quantum Numbers » Isospin

Appeared in Year: 2011

MCQ▾

Question

Using Isospin symmetry, the cross – section for the above process can be related to that of the process –

Choices

Choice (4) Response

a.

π+npπ+π

b.

πnpππ

c.

π+p¯nπ+π

d.

πp¯n¯ππ

Question number: 376

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

Question

A planet of mass m moves in the inverse square central force field of the Sun of mass M. If the semi – major and semi – minor axes of the orbit are a and b , respectively, the total energy of the planet is: (December)

Choices

Choice (4) Response

a.

GMm(1a+1b)

b.

GMma+b

c.

GMmab(a+b)2

d.

GMma(1b1a)

Question number: 377

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

Question

The Lagrangian of a particle of charge e and mass m in applied electric and magnetic field is given by L=12mv2+eAveϕ , where A and ϕ are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)

Choices

Choice (4) Response

a.

Under a gauge transformation of the potentials, L changes by the total time derivative of a function of r and t .

b.

The canonically conjugate momentum of the particle is given by p=mv

c.

L remains unchanged under a gauge transformation of the potentials

d.

The Hamiltonian of the particle is given by H=p22m+emAp+eϕ

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